Hilbert Spaces

  • Anton Deitmar
Part of the Universitext book series (UTX)


In this chapter we shall reinterpret the results of the previous one in terms of Hilbert spaces, since this is the appropriate setting for the generalizations of the results of Fourier theory, that will be given in the chapters to follow.


Hilbert Space Orthonormal Basis Triangle Inequality Cauchy Sequence Orthonormal System 
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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Anton Deitmar
    • 1
  1. 1.Department of MathematicsUniversity of ExeterExeter, DevonUK

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